Finding the Third Proportional to 323,981 and 456,036

Step by Step Solution

1. Step 1: Write the proportion equation
   323,981 : 456,036 = 456,036 : x
2. Step 2: Convert to fraction form
   323,981/456,036 = 456,036/x
3. Step 3: Cross multiply
   323,981x = 456,036 × 456,036
4. Step 4: Simplify right side
   323,981x = 207,968,833,296
5. Step 5: Solve for x
   x = 207,968,833,296/323,981
6. Step 6: Final answer
   x = 641,916.76